rmvtnorm | R Documentation |

Draw vectors from a multivariate normal distribution.

```
rmvtnorm (n = 1, k = 2, means = rep (0, k), sigma = diag (k))
```

`n` |
The number of vectors to be drawn. |

`k` |
The dimension of the vectors to be drawn. |

`means` |
A vector of means, one for each dimension. |

`sigma` |
The covariance matrix of the distribution. If a number between 0 and 1 is provided, this is assumed to be the correlation parameter for a bivariate standard normal distribution. |

If means and sigma are not specified, a standard normal distribution is assumed along every dimensions, and dimensions are assumed to be uncorrelated. If the number of dimensions is not specified, a bivariate distribution is assumed.

A matrix with rows equal to n and columns equal to k, where each row indicates a single observation, and each column represents a different dimension.

Santiago Barreda <sbarreda@ucdavis.edu>

```
## Examples of draws from different bivariate normal distributions
## and standard deviation ellipses drawn to fit them.
#par (mfrow = c(2,2))
#draws = rmvtnorm (n = 1000, k = 2, sigma = .3)
#plot (draws)
#sdellipse (draws, stdev = 3, lwd = 3, col = 2)
#draws = rmvtnorm (n = 1000, k = 2, sigma = -.3)
#plot (draws)
#sdellipse (draws, stdev = 3, lwd = 3, col = 2)
#draws = rmvtnorm (n = 1000, k = 2, sigma = -.7)
#plot (draws)
#sdellipse (draws, stdev = 3, lwd = 3, col = 2)
#draws = rmvtnorm (n = 1000, k = 2, sigma = .7)
#plot (draws)
#sdellipse (draws, stdev = 3, lwd = 3, col = 2)
```

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